make (someone's) acquaintance
To meet someone for the first time. After hearing so many good things about you, I'm delighted to make your acquaintance. I heard that she's a very influential producer, so I'm very eager to make her acquaintance.
make somebody’s acquaintance
, make the acquaintance of somebody
(formal) meet somebody for the first time: I am delighted to make your acquaintance, Mrs Baker.I made the acquaintance of several musicians at that time. make (someone's) acquaintance
To meet someone for the first time: I made his acquaintance at a business conference.